If f (x) = x^3, which of the following describes the graph of f (x + 2) ?

A.) The graph of f (x + 2) is a horizontal shift of f (x) = x^3 two units to the left.

B.) The graph of f (x + 2) is a vertical shift of f (x) = x^3 two units up.

C.) The graph of f (x + 2) is a horizontal shift of f (x) = x^3 two units to the right.

D.) The graph of f (x + 2) is a vertical shift of f (x) = x^3 two units down.

Question

Mathematics

Kelsey

11 April, 12:05

If f (x) = x^3, which of the following describes the graph of f (x + 2) ?

A.) The graph of f (x + 2) is a horizontal shift of f (x) = x^3 two units to the left.

B.) The graph of f (x + 2) is a vertical shift of f (x) = x^3 two units up.

C.) The graph of f (x + 2) is a horizontal shift of f (x) = x^3 two units to the right.

D.) The graph of f (x + 2) is a vertical shift of f (x) = x^3 two units down.

+3

Answers (1)

Know the Answer?

Lilianna Smith · Answer 1

This problem is trying to be confusing on purpose the way its written, so ill do my best to explain. f (x+2) is a silly way of saying that your equation is translates up two units, the "+2" is again "b" in the equation y=mx+b

so its telling you to basically write your equation as y=x^3+2. they will also try to confuse you by showing you this,

y = (x+2) ^3, which is a horizontal translation, twice to the left, so don't be fooled. all in all with your final equation as y=x^3+2, you are left with a vertical translation upwards of 2 : )